In the present paper we explain the well-known Euler formula for solids, as an interesting argument to be dealt with students, in order to point out that in mathematics, and particularly in geometry, there are many different ways to investigate objects. It is also explained with examples the topological reason for which, in defining the Euler Characteristic of a polyhedral surface in the space, it is necessary to use a triangulation, instead of a general tassellation.
Supino, P. (2012). EULER CHARACTERISTIC FOR TEACHERS. DIDÁCTICAS ESPECÍFICAS, 7, 61-68 [10.15366/didacticas2012.7].
EULER CHARACTERISTIC FOR TEACHERS
SUPINO, PAOLA
2012-01-01
Abstract
In the present paper we explain the well-known Euler formula for solids, as an interesting argument to be dealt with students, in order to point out that in mathematics, and particularly in geometry, there are many different ways to investigate objects. It is also explained with examples the topological reason for which, in defining the Euler Characteristic of a polyhedral surface in the space, it is necessary to use a triangulation, instead of a general tassellation.File in questo prodotto:
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